Constructing derived moduli stacks

Details Constructing derived moduli stacks Constructing derived moduli stacks

2011-01-17

arxiv.org/abs/1101.3300v1

Mathematics

Algebraic Geometry

52 pages

Scientific paper

We introduce frameworks for constructing global derived moduli stacks associated to a broad range of problems, bridging the gap between the concrete and abstract conceptions of derived moduli. Our three approaches are via differential graded Lie algebras, via cosimplicial groups, and via quasi-comonoids, each more general than the last. Explicit examples of derived moduli problems addressed here are finite schemes, polarised projective schemes, torsors, coherent sheaves, and finite group schemes.

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